SOME MODEL THEORY OVER AN EXCEPTIONAL UNISERIAL RING AND DECOMPOSITIONS OF SERIAL MODULES

DOI10.1112/S0024610701002344zbMath1048.16003MaRDI QIDQ3151050

Gennadi Puninski

Publication date: 22 October 2002

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

serial modulesindecomposable decompositionsdirect sums of uniserial modulesuniserial ringspure projective modulesmodel theory of modulesdirect sums of finitely presented moduleslattices of pp-formulas

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Free, projective, and flat modules and ideals in associative algebras (16D40) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Other classes of modules and ideals in associative algebras (16D80) Applications of logic in associative algebras (16B70)

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